Understanding Addition of Signed Decimals

The video tutorial explains how to add signed decimals, specifically negative thirteen point seven and positive twenty-eight point five. It begins by recognizing that the positive number outweighs the negative, ensuring a positive sum. The process involves finding the absolute values, subtracting the smaller from the larger, and determining the sign of the sum based on the larger absolute value. The tutorial also demonstrates the addition on a number line, confirming the result of positive fourteen point eight.

What is the initial observation about the sum of negative thirteen point seven and positive twenty-eight point five?

• The sum will be zero.

• The sum cannot be determined.

• The sum will be negative.

• The sum will be positive.

What is the first step in adding decimals with different signs?

• Multiply the numbers.

• Find the absolute values of the numbers.

• Ignore the signs of the numbers.

• Add the numbers directly.

How do you find the absolute value of a number?

• By taking the negative of the number.

• By adding one to the number.

• By squaring the number.

• By finding the distance from zero.

What is the result of subtracting thirteen point seven from twenty-eight point five?

• Thirteen point eight

• Fifteen point eight

• Fourteen point eight

• Twelve point eight

What is the next step after finding the difference between the absolute values?

• Divide the numbers.

• Multiply the numbers.

• Determine the sign of the result.

• Add the numbers again.

How is the sign of the sum determined?

• By the sign of the number with the smaller absolute value.

• By the sign of the number with the larger absolute value.

• By the sign of the larger number.

• By the sign of the smaller number.

What does the number line help visualize in this problem?

• The addition of numbers.

• The division of numbers.

• The multiplication of numbers.

• The subtraction of numbers.

Where do you start on the number line to model negative thirteen point seven?

• At negative fourteen.

• At positive fourteen.

• At zero.

• At positive thirteen.

How many units do you move to the right on the number line to add positive twenty-eight point five?

• Twenty-eight point five units

• Thirteen point seven units

• Fourteen point eight units

• Twenty-seven point five units

What is the final result of adding negative thirteen point seven and positive twenty-eight point five?

• Positive thirteen point eight

• Negative fourteen point eight

• Zero

• Positive fourteen point eight